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Finding the Fourth Proportional to 26,082, 38,787.49 and 25,251.65

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Solution

The fourth proportional to 26,082, 38,787.49 and 25,251.65 is: 37,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082 : 38,787.49 = 25,251.65 : x
  2. Step 2: Convert to fraction form
    26,082/38,787.49 = 25,251.65/x
  3. Step 3: Cross multiply
    26,082x = 38,787.49 × 25,251.65
  4. Step 4: Simplify right side
    26,082x = 979,448,104.94
  5. Step 5: Solve for x
    x = 979,448,104.94/26,082
  6. Step 6: Final answer
    x = 37,552.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.